{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Production decline analysis : Chapter 1\n",
    "\n",
    "> Divyanshu Vyas | Oil & Gas Data Science\n",
    "\n",
    "> Lit. Ref. : Boyun Guo | Tarek Ahmed\n",
    "\n",
    "Production decline analysis is a traditional means of\n",
    "identifying well production problems and predicting\n",
    "well performance and life based on real production\n",
    "data. It uses empirical decline models that have little\n",
    "fundamental justifications. These models include the\n",
    "following:\n",
    "\n",
    ". Exponential decline (constant fractional decline)\n",
    "\n",
    ". Harmonic decline\n",
    "\n",
    ". Hyperbolic decline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Hyperbolic-Decline Model\n",
    "\n",
    "The Most Generic model of all. The constants **b** and **d** are determined by production data.\n",
    "> ### $ \\frac{1}{q} \\frac{dq}{dt} = -b q^{d} $\n",
    "\n",
    ">> 0<d<1 : Hyperbolic Model | d=0 : Exponential Model | d=1 : Harmonic Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example 1: Exponential Decline\n",
    "\n",
    "Given that a well has declined from\n",
    "100 stb/day to 96 stb/day during a 1-month period, use the\n",
    "exponential decline model to perform the following tasks:\n",
    "1. Predict the production rate after 11 more months\n",
    "2. Calculate the amount of oil produced during the first\n",
    "year\n",
    "3. Project the yearly production for the well for the next 5\n",
    "years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Imports\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The Decline Rate b is 0.0408219945202552 /month\n"
     ]
    }
   ],
   "source": [
    "t_1m = 1 #month\n",
    "q_1m = 96 #stb/d\n",
    "\n",
    "t_0m = 0 #month\n",
    "q_0m = 100 #stb/d\n",
    "\n",
    "b = np.log(q_0m/q_1m)/(t_1m - t_0m)\n",
    "\n",
    "\n",
    "print(f'The Decline Rate b is {b} /month')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The flowrate at the end of 12 months is: 61.27097573297669 STB/Day\n"
     ]
    }
   ],
   "source": [
    "# Now using this per month decline, we can calculate the Flow Rate at the end of 1 yr. \n",
    "\n",
    "def q_calculator_exp(month):\n",
    "    \n",
    "    return q_0m*np.exp(-month*b)\n",
    "\n",
    "\n",
    "q_12m = q_calculator_exp(12)\n",
    "\n",
    "\n",
    "print(f'The flowrate at the end of 12 months is: {q_12m} STB/Day')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Let's visualize how this flowrate v/s time looks like. \n",
    "\n",
    "t = np.arange(0,100,1)\n",
    "\n",
    "q = q_calculator_exp(t)\n",
    "\n",
    "plt.figure(figsize=(8,4))\n",
    "plt.style.use('default')\n",
    "\n",
    "plt.plot(t,q,marker='x',label='Exponential Decline')\n",
    "\n",
    "plt.ylabel('Flow Rate(q, STB/D)')\n",
    "plt.xlabel('Time(months)')\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The flowrate at the end of 5yrs is: 8.635231448510442 STB/Day\n"
     ]
    }
   ],
   "source": [
    "#Production rate after 11 MORE months - Means at the end of 1 Year. (1 + 11)\n",
    "\n",
    "#At the end of 5 yrs, Total Months = 5*12\n",
    "\n",
    "q_5yr = q_calculator_exp(60)\n",
    "\n",
    "print(f'The flowrate at the end of 5yrs is: {q_5yr} STB/Day')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Calculation of Cummulative Production.\n",
    "\n",
    "> ### $ N_{p} = \\frac { q_0 - q_0 e^{-bt} } {b} $\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Np_exp(t):\n",
    "    \n",
    "    Np = (q_0m - q_0m*np.exp(-b*t))/b\n",
    "    \n",
    "    return Np\n",
    "\n",
    "\n",
    "Np_monthwise = Np_exp(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8,4))\n",
    "plt.style.use('default')\n",
    "\n",
    "plt.plot(t,q,marker='x',label='Flow Rate (Exp. Decline)')\n",
    "plt.plot(t,Np_monthwise/10,marker='o',label='Cumm. Prod.(x10) (Exp. Decline)')\n",
    "\n",
    "Np_1yr= Np_exp(12)\n",
    "Np_2yr= Np_exp(24)\n",
    "Np_3yr= Np_exp(36)\n",
    "Np_4yr= Np_exp(48)\n",
    "Np_5yr= Np_exp(60)\n",
    "\n",
    "\n",
    "plt.axvline(12,c='red')\n",
    "\n",
    "plt.ylabel('Flow Rate(q, STB/D)')\n",
    "plt.xlabel('Time(months)')\n",
    "plt.legend()\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Exponential Decline Analysis')"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create figure and axis objects with subplots()\n",
    "fig,ax = plt.subplots()\n",
    "# make a plot\n",
    "ax.plot(t,q, color=\"red\", marker=\"x\")\n",
    "# set x-axis label\n",
    "ax.set_xlabel(\"Time(Months)\",fontsize=14)\n",
    "# set y-axis label\n",
    "ax.set_ylabel(\"Flow Rate(STB/Day)\",color=\"red\",fontsize=14)\n",
    "ax.grid()\n",
    "\n",
    "\n",
    "\n",
    "ax2=ax.twinx()\n",
    "# make a plot with different y-axis using second axis object\n",
    "ax2.plot(t,Np_monthwise,color=\"blue\",marker=\"o\")\n",
    "ax2.set_ylabel(\"Cummulative Production (Np, STB)\",color=\"blue\",fontsize=14)\n",
    "\n",
    "ax2.axvline(60,color='green',lw=3,label='5 Years.')\n",
    "ax2.legend(loc='center right')\n",
    "\n",
    "\n",
    "plt.title('Exponential Decline Analysis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
